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Reflections (flips)

Geometry Workbook for Grades 4-5

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Identifying and drawing reflections (flips)

A reflection is a shape or pattern that is reflected across a line of symmetry. It has the same size and shape as the original but is flipped. In these worksheets, students identify and draw reflections (flips) of shapes .

geometry reflection worksheet

Identifying reflections:

Drawing reflections:

geometry reflection worksheet

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geometry reflection worksheet

Reflections in Geometry

geometry reflection worksheet

Are you looking for reflections in geometry practice for your students? Miss Kuiper’s Classroom has you covered with this printable and digital worksheet set!

This set has  2 different printable worksheets   to help students learn how to reflect a point and a shape on a coordinate plane.  These reflections in geometry worksheets also include 2 digital & interactive worksheets   for students. Also included are  2 leveled Google Forms   for additional practice or to be given as an assessment.

Printable Worksheets

Worksheet #1: introduction to reflection.

There are 2 double-sided worksheets included with this set. They are scaffolded to help students progress in their understanding from doing a reflection of a point to creating an algebraic rule. The style of problems vary to allow your students to think flexibly with reflections in geometry to gain mastery over the concept.

geometry reflection worksheet

Let’s take a look at the first worksheet. This introduction to reflections on a coordinate plane worksheet has 3 sections.

Section #1 lets your students get acquainted with flip something over the x or y-axis. When I taught this, I know my students seemed to initially struggle with the phrasing of “reflect over the axis.” Read how I helped students work with that barrier here! The visual gives them a guiding point as to what their reflection should look like after completing it.

Section #2 is all about practicing. The Common Core State Standard 8.G.3 says that students need to be able to describe what happens to the coordinate points from the pre-image to the image. Because of this, students will be asked to provide the coordinate point for both components. Worksheet #1 only deals with a single point on the graph to allow your students to get the hang of reflecting over the axis before doing a whole shape.

And finally Section #3. In this section, students are given 8 different scenarios where they need to decide if the reflection happened over the x-axis, y-axis or neither.

geometry reflection worksheet

Worksheet #2: Diving Deeper

Moving into the second worksheet, this is where students practice with a full shape. I’ve found that scaffolding the practice like this, from one point to a full shape, has helped my students retain their understanding better.

geometry reflection worksheet

Similarly to Worksheet #1, this has 3 sections as well. Section #1 is all about the practice. Students are given either a shape with 4 or 5 vertices. They are asked to identify the pre-image coordinates as well as the image coordinates. This goes back to  CCSS 8.G.3 and moves students towards being able to come up with the algebraic rule or expression. And that leads us into Section #2.

In Section #2, students are asked, “ Looking at Problem 1 & 3, what do you notice about the coordinates from the pre-image to the image? ” This is followed by “ Using your observation, what would the algebraic representation for reflections of the y-axis be? Having this progression of questions allows a more natural understanding of what a reflection does to the coordinates.

And now comes my favorite part, Section #3. The reason why I love this section is because it offers students some creative freedom. 

geometry reflection worksheet

Even with the small amount of choice that goes with this project can have monumental effects on buy-in and learning. Read about how choice can affect learning here!  

geometry reflection worksheet

Hi! I’m Johanna Kuiper. 

As a middle school math teacher, my goal is to help your students gain confidence in their math abilities. And to help you do that too.

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GCSE Maths

Here we will learn how to reflect 2D shapes on grid paper and how to describe reflections.

There are also reflection worksheets based on Edexcel, AQA and OCR exam questions, along with further guidance on where to go next if you’re still stuck.

What is reflection?

Reflection is a type of transformation that flips a shape in a mirror line (also called a line of reflection) so that each point is the same distance from the mirror line as its reflected point. 

Triangle P has been reflected in the line x=4 to give Triangle Q .

Triangle P is the object and Triangle Q is the image.

When an object is reflected the object and the image are mirror images of each other.

We can see that each point of triangle P is the same distance from the mirror line as the corresponding point on triangle Q .

The two triangles are congruent because they are the same shape and the same size.

See also: Transformations

What is reflection?

How to use reflections

In order to reflect a shape on a grid:

  • Reflect the first point.
  • Reflect the other points.
  • Finish the diagram.

How to use reflections

Reflection maths worksheet

Get your free reflection maths worksheet of 20+ questions and answers. Includes reasoning and applied questions.

Reflection maths examples

Example 1: reflect a shape on a grid.

Reflect the shape in the line:

Choose the first point to reflect. It is easier to start with a point which is closest to the mirror line (the line of reflection). The new point will be exactly the same distance away from the mirror line as the original point.

2 Reflect the other points.

Here is a second point being reflected to give its image. The remaining two points have also been added.

3 Finish the diagram.

To finish the diagram we can join up the reflected points.

Example 2: reflect a shape on a grid

Here is a second and a third point being reflected to give its image. The remaining point is on the mirror line and does not move (it is an invariant point).

See also: Symmetry

How use reflections on a coordinate grid

In order to reflect a shape on a coordinate grid:

  • Draw the mirror line .

Reflections on a coordinate grid examples

Example 3: reflect a shape on a coordinate grid.

Reflect Triangle P in the line x = 4 :

  • Draw the mirror line.

The mirror line is x = 4 (the line of reflection). This is a vertical line. Draw this on the diagram.

Choose the first point to reflect. It is easier to start with a point which is closest to the mirror line (the line of reflection). Let’s reflect the point (3,1) . The new point will be exactly the same distance away from the mirror line as the original point.

3 Reflect the other points.

Here is a second point (1,4) being reflected to give its image.

We can reflect the third point (1,1) .

4 Finish the diagram.

Here Triangle Q is the image of Triangle P .

Example 4: reflect a shape

Reflect Triangle P in the line y = 3 :

The mirror line is y = 3 (the line of reflection). This is a horizontal line. Draw this on the diagram.

Choose the first point to reflect. It is easier to start with a point which is closest to the mirror line (the line of reflection). Let’s reflect the point (3,2) . The new point will be exactly the same distance away from the mirror line as the original point.

We can reflect the third point (4,0) .

To finish the diagram we can join up the reflected points.  

How to describe reflections

In order to describe a reflection of a shape on a coordinate grid:

  • Pair up the points.
  • Identify the midpoints.
  • Join the midpoints.
  • State the equation of the line.

Describing reflections examples

Example 5: describe a reflection.

Describe the transformation of Shape A to Shape B

Try to match up the corresponding point on the two shapes and draw a connecting line. Try to do this with more than one set of points.

2 Identify the midpoints.

Identify the midpoints of these connecting lines. This will help us to draw in the line of reflection.

3 Join the midpoints.

Draw a straight line through the midpoints.

4 State the equation of the line.

The equation of the line is y = 4 .

The transformation is a reflection in the line y = 4

Example 6: describe a reflection

The equation of the line is y = x .

The transformation is a reflection in the line y = x

Common misconceptions

  • Overlapping shapes

The original shape (the object) and its reflection (the image) are allowed to overlap each other.

  • Diagonal mirror line (the line of reflection)

Diagonal mirror lines can be tricky.  It is worth turning the diagram so that the mirror line is either horizontal or vertical to make the reflections easier to carry out.

  • Describe transformations fully

When you are asked to describe a transformation make sure you state which kind of transformation it is and any other details. So for reflections we need to state that it is a reflection and give the equation of the line of reflection.

Practice reflection maths questions

1. Reflect the shape in the line of reflection:

GCSE Quiz False

The corresponding points on the object and the image must be equidistant (the same distance) from the mirror line.

2. Reflect the shape in the line of reflection:

The corresponding points on the object and the image must be equidistant (the same distance) from the mirror line. The object and the image should be congruent – the same shape and the same size.

3. Reflect the shape in the line y = 4 :

The line y = 4 is a horizontal line going through 4 on the y -axis. The corresponding points on the object and the image must be equidistant (the same distance) from the mirror line.

4. Reflect the shape in the y axis:

The y -axis is the vertical axis. The corresponding points on the object and the image must be equidistant (the same distance) from the mirror line. The object and the image should be congruent – the same shape and the same size.

5. Describe the transformation of Shape P to Shape Q

reflection in x=6

reflection in x=5

reflection in y=5

transformation in x=5

You must state that the transformation is a reflection. The line of reflection is a vertical line, so the equation is x=a , where a is a number. The corresponding points on the object and the image must be equidistant (the same distance) from the mirror line.

6. Describe the reflection of Shape P to Shape Q

reflection in x -axis

reflection in y -axis

reflection in y=-x

reflection in y=x

The line of reflection is a diagonal line. The corresponding points on the object and the image must be equidistant (the same distance) from the mirror line. The mirror line goes through the points (1,-1), (2,-2), (3,-3) and so on.

Reflection maths GCSE questions

1. Reflect the shaded shape in the mirror line.

for correct reflection in the correct position

2. On the grid below, reflect the shape in the line with the equation x=1

3. Describe fully the single transformation that maps shape A onto shape B .

Reflection in x -axis (or y=0 )

stating reflection

for giving the correct line of reflection

Learning checklist

You have now learned how to:

  • Reflect 2D shapes including polygons on grid
  • Reflect 2D shapes including polygons on coordinate grid with x-axis and y-axis
  • Identify properties of, and describe the results of reflections applied to given figures

The next lessons are

  • Pythagoras’ Theorem
  • Trigonometry – including sine and cosine
  • Linear equations
  • Quadratic equations

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Reflections Worksheets

Reflections in geometry is an important concept from a mathematical point of view. In a coordinate plane , an image will reflect through a line to give its mirror image. This is an important concept of coordinate geometry which also relates to the concept of perpendicular lines and solving linear equations in two variables. The reflections worksheets developed by Cuemath is one of the best resources one can have to clarify this concept.

Benefits of Reflections Worksheets

Cuemath experts developed a set of reflections worksheets that contain many solved examples as well as questions. Students will know how to find the position of the image of a particular point (or object) after reflection through a straight line. This worksheet is also helpful from an exam point of view.

Download Reflections Worksheet PDFs

These math worksheets should be practiced regularly and are free to download in PDF formats.

Reflection in Geometry

Related Topics: More Lessons for Grade 7 Math Math Worksheets

Examples, solutions, videos, worksheets, stories, and songs to help Grade 7 students learn about reflection in geometry.

In this lesson, we will learn about reflection. A reflection (or flip) is one kind of transformation. The reflection of a point is another point on the other side of a line of symmetry. Both the point and its reflection are the same distance from the line.

The following diagram show the coordinate rules for reflection over the x-axis, y-axis, the line y = x and the line y = -x. Scroll down the page for more examples and solutions of reflection on the coordinate plane.

Coordinate Rules for Reflection

Transformations - Reflection Review the rules for performing a reflection across an axis.

Math Reflection On Coordinate Plane

Reflections of shapes Describing reflections of simple shapes in the plane, and how to draw them.

Reflection is a type of transformation (geometry)

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Transformation Worksheets: Translation, Reflection and Rotation

Exercise this myriad collection of printable transformation worksheets to explore how a point or a two-dimensional figure changes when it is moved along a distance, turned around a point, or mirrored across a line. Encompassing basic transformation practice on slides, flips, and turns, and advanced topics like translation, rotation, reflection, and dilation of figures on coordinate grids, these pdf worksheets on transformation of shapes help students of grade 1 through high school sail smoothly through the concept of rigid motion and resizing. Access some of these worksheets for free!

Printing Help - Please do not print transformation worksheets directly from the browser. Kindly download them and print.

» Slide, Flip and Turn

» Rotation

» Translation

» Reflection

» Dilation with Center at Origin

» Dilation with Center not at Origin

Identify the Transformation

Identify the Transformation

In these worksheets identify the image which best describes the transformation (translation, reflection or rotation) of the given figure. Ideal for grade 5 and grade 6 children.

  • Download the set

Write the Type of Transformation

Write the Type of Transformation

Each grid has the figure and the image obtained after transformation. Write, in each case the type of transformation undergone. Recommended for 6th grade and 7th grade students.

Transformation of Points: Multiple Choices

Transformation of Points: Multiple Choices

Rotate, reflect and translate each point following the given rules. Grade 7 students should choose the correct image of the transformed point.

Multiple Choices: Transformation

Multiple Choices: Transformation

The coordinates of a point are given. Perform the required transformation and check mark the correct choice.

Transformation of Shapes

Transformation of Shapes

Translate, reflect or rotate the shapes and draw the transformed image on the grid. Each printable worksheet has eight practice problems.

Transformation of Triangles

Transformation of Triangles

Draw the transformed image of each triangle. The type of transformation to be performed is described above each question.

Transformation of Quadrilaterals

Transformation of Quadrilaterals

Let the high school students translate each quadrilateral and graph the image on the grid. Label the quadrilateral after transformation.

Transformation: Any Two of Three

Transformation: Any Two of Three

Two types of transformation have been performed to each figure. Middle school children should choose the correct transformations undergone.

Write the Rules

Write the Rules

Identify the transformation undergone by the figure and write a rule to describe each of them.

Writing Coordinates: With Graph

Writing Coordinates: With Graph

Perform the required transformation for each figure and graph it. Also write the coordinates of the image obtained. Suitable for 8th graders.

Writing New Coordinates

Writing New Coordinates

The coordinates of the figure are given. Write down the coordinates of the vertices of the image after transformation.

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Geometry Worksheets

Welcome to the geometry worksheets page at Math-Drills.com where we believe that there is nothing wrong with being square! This page includes Geometry Worksheets on angles, coordinate geometry, triangles, quadrilaterals, transformations and three-dimensional geometry worksheets.

Get out those rulers, protractors and compasses because we've got some great worksheets for geometry! The quadrilaterals are meant to be cut out, measured, folded, compared, and even written upon. They can be quite useful in teaching all sorts of concepts related to quadrilaterals. Just below them, you'll find worksheets meant for angle geometry. Also see the measurement page for more angle worksheets. The bulk of this page is devoted to transformations. Transformational geometry is one of those topics that can be really interesting for students and we've got enough worksheets for that geometry topic to keep your students busy for hours.

Don't miss the challenging, but interesting world of connecting cubes at the bottom of this page. You might encounter a few future artists when you use these worksheets with students.

Most Popular Geometry Worksheets this Week

Plotting Coordinate Points

Lines and Angles

geometry reflection worksheet

In this section, there are worksheets for two of the basic concepts of geometry: lines and angles.

Lines (or straight lines to be precise) in geometry are continuous and extend in both directions to infinity. They have no width, depth or curvature. In math activities, they are often represented by a drawn straight path with some width. To show that they are lines, arrows are drawn on each end to show they extend to infinity. A line segment is a finite section of a line. Line segments are often represented with points at each end of a drawn straight path. Rays start at a point and extend in a straight line to infinity. This is shown with a point at one end of a drawn straight path and an arrow at the other end.

  • Identifying Lines, Line Segments and Rays Identify Lines, Segments and Rays

Angles can be classified into six different types. Acute angles are greater than 0 degrees but less than 90 degrees. Right angles are exactly 90 degrees. Obtuse angles are greater than 90 degrees but less than 180 degrees. Straight angles are exactly 180 degrees. Reflex angles are greater than 180 degrees but less than 360 degrees. Complete/Full angles are exactly 360 degrees.

  • Identifying Angle Types Worksheets Identifying Acute and Obtuse Angles Identifying Acute and Obtuse Angles (No Angle Marks) Identifying Acute, Obtuse and Right Angles Identifying Acute, Obtuse and Right Angles (No Angle Marks) Identifying Acute, Obtuse, Right and Straight Angles Identifying Acute, Obtuse, Right and Straight Angles (No Angle Marks) Identifying Acute, Obtuse, Right, Straight and Reflex Angles Identifying Acute, Obtuse, Right, Straight, Reflex and Complete/Full Angles

There are several angle relationships of which students should be aware. Complementary angles are two angles that together form a 90 degree angle; supplementary angles are two angles that together form a 180 degree angle; and explementary angles are two angles that together form a 360 degree angle. Vertical angles are found at line intersections; angles opposite each other are equal. Students can practice determining and/or calculating the unknown angle(s) in the following angle relationships worksheets.

  • Angle Relationships Worksheets Complementary Angles Complementary Angles (Diagrams Rotated) Supplementary Angles Supplementary Angles (Diagrams Rotated) Mixed Complementary and Supplementary Angles Questions (Diagrams Rotated) Explementary Angles Explementary Angles (Diagrams Rotated) Mixed Adjacent Angles Questions (Diagrams Rotated) Vertical/Opposite Angles Vertical/Opposite Angles (Diagrams Rotated) Mixed Angle Relationships Questions(Diagrams Rotated)
  • Angles of Transversals Intersecting Parallel Lines Interior Alternate Angles Exterior Alternate Angles Alternate Angles Corresponding Angles Co-Interior Angles Transversals

Measuring angles worksheets, can be found on the Measurement Page

Triangles, Quadrilaterals and Other Shapes

geometry reflection worksheet

The quadrilaterals set can be used for a number of activities that involve classifying and recognizing quadrilaterals or for finding the properties of quadrilaterals (e.g. that the interior angles add up to 360 degrees). The tangram printables are useful in tangram activities. There are several options available for the tangram printables depending on your printer, and each option includes a large version and smaller versions. If you know someone with a suitable saw, you can use the tangram printable as a template on material such as quarter inch plywood; then simply sand and paint the pieces.

  • Shape Sets Quadrilaterals Set Tangrams
  • Identifying Regular Polygons Identifying Regular Shapes from Triangles to Octagons

Worksheets for classifying triangles by side and angle properties and for working with Pythagorean theorem.

If you are interested in students measuring angles and sides for themselves, it is best to use the versions with no marks. The marked versions will indicate the right and obtuse angles and the equal sides.

  • Classifying Triangles Worksheets Classifying Triangles by Side Properties Classifying Triangles by Angle Properties Classifying Triangles by Side and Angle Properties Classifying Triangles by Side Properties (No Marks) Classifying Triangles by Angle Properties (No Marks) Classifying Triangles by Side and Angle Properties (No Marks)

A cathetus (plural catheti) refers to a side of a right-angle triangle other than the hypotenuse.

  • Calculating Triangle Dimensions Using Pythagorean Theorem Calculate the Hypotenuse Using Pythagorean Theorem (No Rotation) Calculate the Hypotenuse Using Pythagorean Theorem Calculate a Cathetus Using Pythagorean Theorem (No Rotation) Calculate a Cathetus Using Pythagorean Theorem Calculate any Side Using Pythagorean Theorem (No Rotation) Calculate any Side Using Pythagorean Theorem

Trigonometric ratios are useful in determining the dimensions of right-angled triangles. The three basic ratios are summarized by the acronym SOHCAHTOA. The SOH part refers to the ratio: sin(α) = O/H where α is an angle measurement; O refers the length of the side (O)pposite the angle measurement and H refers to the length of the (H)ypotenuse of the right-angled triangle. The CAH part refers to the ratio: cos(α) = A/H where A refers to the length of the (A)djacent side to the angle. The TOA refers to the ratio: tan(α) = O/A.

  • Calculating Angles and Sides Using Trigonometric Ratios Calculating Angles Using the Sine Ratio Calculating Sides Using the Sine Ratio Calculating Angles and Sides Using the Sine Ratio Calculating Angles Using the Cosine Ratio Calculating Sides Using the Cosine Ratio Calculating Angles and Sides Using the Cosine Ratio Calculating Angles Using the Tangent Ratio Calculating Sides Using the Tangent Ratio Calculating Angles and Sides Using the Tangent Ratio Calculating Angles Using Trigonometric Ratios Calculating Sides Using Trigonometric Ratios Calculating Angles and Sides Using Trigonometric Ratios

Quadrilaterals are interesting shapes to classify. Their classification relies on a few attributes and most quadrilaterals can be classified as more than one shape. A square, for example, is also a parallelogram, rhombus, rectangle and kite. A quick summary of all quadrilaterals is as follows: quadrilaterals have four sides. A square has 90 degree corners and equal length sides. A rectangle has 90 degree corners, but the side lengths don't have to be equal. A rhombus has equal length sides, but the angles don't have to be 90 degrees. A parallelogram has both pairs of opposite sides equal and parallel and both pairs of opposite angles are equal. A trapezoid only needs to have one pair of opposite sides parallel. A kite has two pairs of equal length sides where each pair is joined/adjacent rather than opposite to one other. A bowtie is sometimes included which is a complex quadrilateral with two sides that crossover one another, but they are readily recognizable. Any other four-sided polygon can safely be called a quadrilateral if it doesn't meet any of the criteria for a more specific classification.

  • Classifying Quadrilaterals Classifying Simple Quadrilaterals Classifying All Quadrilaterals Classifying All Quadrilaterals (+ Rotation)

Coordinate Plane Worksheets

geometry reflection worksheet

Coordinate point geometry worksheets to help students learn about the Cartesian plane.

  • Plotting Random Coordinate Points Plotting Coordinate Points in All Quadrants Plotting Coordinate Points in Positive x Quadrants Plotting Coordinate Points in Positive y Quadrants

There are many other Cartesian Art plots scattered around the Math-Drills website as many of them are associated with a holiday. To find them quickly, use the search box.

  • Cartesian Art Cartesian Art Maple Leaf
  • Coordinate Plane Distance and Area Calculating Pythagorean Distances of Coordinate Points Calculating Perimeter and Area of Triangles on Coordinate Planes Calculating Perimeter and Area of Quadrilaterals on Coordinate Planes Calculating Perimeter and Area of Triangles and Quadrilaterals on Coordinate Planes

Transformations Worksheets

geometry reflection worksheet

Transformations worksheets for translations, reflections, rotations and dilations practice.

Here are two quick and easy ways to check students' answers on the transformational geometry worksheets below. First, you can line up the student's page and the answer page and hold it up to the light. Moving/sliding the pages slightly will show you if the student's answers are correct. Keep the student's page on top and mark it or give feedback as necessary. The second way is to photocopy the answer page onto an overhead transparency. Overlay the transparency on the student's page and flip it up as necessary to mark or give feedback.

Also known as sliding, translations are a way to mathematically describe how something moves on a Cartesian plane. In translations, every vertex and line segment moves the same, so the resulting shape is congruent to the original.

  • Translations Worksheets Translation of 3 vertices by up to 3 units. Translation of 3 vertices by up to 6 units. Translation of 3 vertices by up to 25 units. Translation of 4 vertices by up to 6 units. Translation of 5 vertices by up to 6 units.
  • Translations Worksheets (Multi-Step) Two-Step Translation of 3 vertices by up to 6 units. Two-Step Translation of 4 vertices by up to 6 units. Three-Step Translation of 3 vertices by up to 6 units. Three-Step Translation of 4 vertices by up to 6 units.

Reflect on this: reflecting shapes over horizontal or vertical lines is actually quite straight-forward, especially if there is a grid involved. Start at one of the original points/vertices and measure the distance to the reflecting line. Note that you should measure perpendicularly or 90 degrees toward the line which is why it is easier with vertical or horizontal reflecting lines than with diagonal lines. Measure out 90 degrees on the other side of the reflecting line, the same distance of course, and make a point to represent the reflected vertex. Once you've done this for all of the vertices, you simply draw in the line segments and your reflected shape will be finished.

Reflecting can also be as simple as paper-folding. Fold the paper on the reflecting line and hold the paper up to the light. On a window is best because you will also have a surface on which to write. Only mark the vertices, don't try to draw the entire shape. Unfold the paper and use a pencil and ruler to draw the line segments between the vertices.

  • Reflections Worksheets Reflection of 3 Vertices Over x = 0 and y = 0 Reflection of 4 Vertices Over x = 0 and y = 0 Reflection of 5 Vertices Over x = 0 and y = 0 Reflection of 3 Vertices Over Various Lines Reflection of 4 Vertices Over Various Lines Reflection of 5 Vertices Over Various Lines
  • Reflections Worksheets (Multi-Step) Two-Step Reflection of 3 Vertices Over Various Lines Two-Step Reflection of 4 Vertices Over Various Lines Three-Step Reflection of 3 Vertices Over Various Lines Three-Step Reflection of 4 Vertices Over Various Lines

Here's an idea on how to complete rotations without measuring. It works best on a grid and with 90 or 180 degree rotations. You will need a blank overhead projector sheet or other suitable clear plastic sheet and a pen that will work on the page. Non-permanent pens are best because the plastic sheet can be washed and reused. Place the sheet over top of the coordinate axes with the figure to be rotated. With the pen, make a small cross to show the x and y axes being as precise as possible. Also mark the vertices of the shape to be rotated. Using the plastic sheet, perform the rotation, lining up the cross again with the axes. Choose one vertex and mark it on the paper by holding the plastic sheet in place, but flipping it up enough to get a mark on the paper. Do this for the other vertices, then remove the plastic sheet and join the vertices with line segments using a ruler.

  • Rotations Worksheets Rotation of 3 Vertices around the Origin Starting in Quadrant I Rotation of 4 Vertices around the Origin Starting in Quadrant I Rotation of 5 Vertices around the Origin Starting in Quadrant I Rotation of 3 Vertices around the Origin Rotation of 4 Vertices around the Origin Rotation of 5 Vertices around the Origin Rotation of 3 Vertices around Any Point Rotation of 4 Vertices around Any Point Rotation of 5 Vertices around Any Point
  • Rotations Worksheets (Multi-Step) Two-Step Rotations of 3 Vertices around Any Point Two-Step Rotations of 4 Vertices around Any Point Two-Step Rotations of 5 Vertices around Any Point Three-Step Rotations of 3 Vertices around Any Point Three-Step Rotations of 4 Vertices around Any Point Three-Step Rotations of 5 Vertices around Any Point
  • Dilations Worksheets Dilations Using Center (0, 0) Dilations Using Various Centers
  • Determining Scale Factors Worksheets Determine Scale Factors of Rectangles (Whole Numbers) Determine Scale Factors of Rectangles (0.5 Intervals) Determine Scale Factors of Rectangles (0.1 Intervals) Determine Scale Factors of Triangles (Whole Numbers) Determine Scale Factors of Triangles (0.5 Intervals) Determine Scale Factors of Triangles (0.1 Intervals) Determine Scale Factors of Rectangles and Triangles (Whole Numbers) Determine Scale Factors of Rectangles and Triangles (0.5 Intervals) Determine Scale Factors of Rectangles Triangles (0.1 Intervals)
  • Mixed Transformations Worksheets (Multi-Step) Two-Step Transformations Three-Step Transformations

Constructions Worksheets

geometry reflection worksheet

Constructions worksheets for constructing bisectors, perpendicular lines and triangle centers.

It is amazing what one can accomplish with a compass, a straight-edge and a pencil. In this section, students will do math like Euclid did over 2000 years ago. Not only will this be a lesson in history, but students will gain valuable skills that they can use in later math studies.

  • Constructing Midpoints And Bisectors On Line Segments And Angles Midpoints on Horizontal Line Segments Perpendicular Bisectors on Horizontal Line Segments Perpendicular Bisectors on Rotated Line Segments Angle Bisectors (Angles not Rotated) Angle Bisectors (Angles Randomly Rotated)
  • Constructing Perpendicular Lines Construct Perpendicular Lines Through Points on a Line Segment Construct Perpendicular Lines Through Points Not on Line Segment Construct Perpendicular Lines Through Points on Line Segment (Segments are randomly rotated) Construct Perpendicular Lines Through Points Not on Line Segment (Segments are randomly rotated)
  • Constructing Triangle Centers Centroids for Acute Triangles Centroids for Mixed Acute and Obtuse Triangles Orthocenters for Acute Triangles Orthocenters for Mixed Acute and Obtuse Triangles Incenters for Acute Triangles Incenters for Mixed Acute and Obtuse Triangles Circumcenters for Acute Triangles Circumcenters for Mixed Acute and Obtuse Triangles All Centers for Acute Triangles All Centers for Mixed Acute and Obtuse Triangles

Three-Dimensional Geometry

geometry reflection worksheet

Three-dimensional geometry worksheets that are based on connecting cubes and worksheets for classifying three-dimensional figures.

Connecting cubes can be a powerful tool for developing spatial sense in students. The first two worksheets below are difficult to do even for adults, but with a little practice, students will be creating structures much more complex than the ones below. Use isometric grid paper and square graph paper or dot paper to help students create three-dimensional sketches of connecting cubes and side views of structures.

  • Connecting Cube Structures Side Views of Connecting Cube Structures Build Connecting Cube Structures
  • Classifying Three-Dimensional Figures Classify Prisms Classify Pyramids Classify Prisms and Pyramids

This section includes a number of nets that students can use to build the associated 3D solids. All of the Platonic solids and many of the Archimedean solids are included. A pair of scissors, a little tape and some dexterity are all that are needed. For something a little more substantial, copy or print the nets onto cardstock first. You may also want to check your print settings to make sure you print in "actual size" rather than fitting to the page, so there is no distortion.

  • Nets of Three-Dimensional Figures Nets of Platonic and Archimedean Solids Nets of All Platonic Solids Nets of Some Archimedean Solids Net of a Tetrahedron Net of a Cube Net of an Octahedron Net of a Dodecahedron (Version 1) Net of a Dodecahedron (Version 2) Net of an Icosahedron Net of a Truncated Tetrahedron Net of a Cuboctahedron Net of a Truncated Cube Net of a Truncated Octahedron Net of a Rhombicuboctahedron Net of a Truncated Cuboctahedron Net of a Snub Cube Net of an Icosidodecahedron

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IMAGES

  1. Reflecting Points On A Coordinate Plane Worksheet

    geometry reflection worksheet

  2. Reflection Worksheet

    geometry reflection worksheet

  3. Geometry Reflection Worksheet

    geometry reflection worksheet

  4. Reflection Of Shapes Worksheet

    geometry reflection worksheet

  5. Geometric Reflections Introductory Activity by 8th Grade Math Teacher

    geometry reflection worksheet

  6. Reflection Worksheet

    geometry reflection worksheet

VIDEO

  1. Worksheet [5] Geometry-1st Secondary

  2. Worksheet[6]- Geometry 1st Secondary

  3. Geometry SecArc Worksheet

  4. Worksheet [7] Geometry

  5. G3 Reflection Solutions

COMMENTS

  1. PDF Reflections Worksheet

    reflection across the x-axis reflection across y = − x. reflection across x = −3. reflection across the y-axis reflection across y = x. Create your own worksheets like this one with Infinite Geometry. Free trial available at KutaSoftware.com.

  2. Reflection Worksheets

    Geometry > Transformation > Reflection Reflection Worksheets Our printable reflection worksheets have exclusive pages to understand the concepts of reflection and symmetry. Exercises to graph the images of figures across the line of reflection, reflection of points and shapes are here for practice.

  3. Geometry Reflection Worksheets

    Geometry reflection worksheets help students to identify the reflection of the given point from the given options. Practicing these worksheets is also helpful for students to prepare for various competitive exams. Download Geometry Reflection Worksheet PDFs These math worksheets should be practiced regularly and are free to download in PDF formats.

  4. Transformations Worksheets

    This Transformations Worksheet will produce problems for practicing reflections of objects. Triangles, 4-sided polygons and box shaped objects may be selected. Types of Shapes To Be Drawn Triangles 4-sided Polygons Box Shapes Language for the Transformations Worksheet Memo Line for the Transformations Worksheet

  5. Reflection of 3 Vertices Over the x or y Axis (A)

    Welcome to The Reflection of 3 Vertices Over the x or y Axis (A) Math Worksheet from the Geometry Worksheets Page at Math-Drills.com. This math worksheet was created or last revised on 2013-02-14 and has been viewed 96 times this week and 720 times this month.

  6. Reflections (flips) Worksheets

    In these worksheets, students identify and draw reflections (flips) of shapes. Identifying reflections: Worksheet #1 Worksheet #2 Drawing reflections: Worksheet #3 Worksheet #4 Worksheet #5 Similar: Tessellations Rotational Symmetry More geometry worksheets

  7. PDF Graph the image of the figure using the transformation given

    Reflections of Shapes Date_____ Period____ Graph the image of the figure using the transformation given. 1) reflection across the x-axis x y L G Q 2) reflection across ... Create your own worksheets like this one with Infinite Pre-Algebra. Free trial available at KutaSoftware.com. Title: Reflections of Shapes

  8. Free Printable Math Worksheets for Geometry

    Free Printable Math Worksheets for Geometry Created with Infinite Geometry Stop searching. Create the worksheets you need with Infinite Geometry. Fast and easy to use Multiple-choice & free-response Never runs out of questions Multiple-version printing Free 14-Day Trial Windows macOS Review of Algebra Review of equations Simplifying square roots

  9. Reflections in Geometry

    Reflections in Geometry Are you looking for reflections in geometry practice for your students? Miss Kuiper's Classroom has you covered with this printable and digital worksheet set! This set has 2 different printable worksheets to help students learn how to reflect a point and a shape on a coordinate plane.

  10. Geometric Reflection Worksheets

    These worksheets look at a reflection made over an axis. It really helps if you draw these out, some will already be drawn for you. To determine if a true reflection occurs make sure that the point is an equidistance for the mirror of center line. You will also need to take the time to position your point near the mid-line of the axis.

  11. Geometry Reflection (examples, solutions, videos, worksheets, games

    To perform a geometry reflection, a line of reflection is needed; the resulting orientation of the two figures are opposite. Corresponding parts of the figures are the same distance from the line of reflection. Ordered pair rules reflect over the x-axis: (x, -y), y-axis: (-x, y), line y = x: (y, x).

  12. Reflection

    Example 3: reflect a shape on a coordinate grid. Reflect Triangle P P in the line x = 4 x = 4: Draw the mirror line. The mirror line is x = 4 x = 4 (the line of reflection). This is a vertical line. Draw this on the diagram. 2 Reflect the other points. Choose the first point to reflect.

  13. Geometry Reflections Worksheet Teaching Resources

    Geometric Reflection Worksheets included in this download: Worksheet 1: Alien Writing + Answer Key Worksheet 2: Alien Diary + Answer KeyWORKSHEET #1: ALIEN WRITING Students will use sequences of reflections to find the letters of the alphabet written by a. Subjects: Geometry, Graphing, Math. Grades:

  14. PDF Geometry

    If M(6, -‐2) is reflected across the line x = 3, then M' is (0, -‐2). 9. If W(-‐6, -‐3) is reflected over the y-‐axis, then W' is (-‐6, 3). 10. If Z(2, 0) is reflected over the x-‐axis, then Z' is (2, 0). Use the diagram at the right to name the image of after the reflection given.

  15. Reflections Worksheets

    Reflections in geometry is an important concept from a mathematical point of view. In a coordinate plane, an image will reflect through a line to give its mirror image. This is an important concept of coordinate geometry which also relates to the concept of perpendicular lines and solving linear equations in two variables.

  16. PDF Infinite Geometry

    Worksheet by Kuta Software LLC-3-13) reflection across the x-axis x y M LK J 14) reflection across the x-axis x y N ML K Find the coordinates of the vertices of each figure after the given transformation. 15) reflection across x = -3 x y P Q R 16) reflection across the x-axis x y L K J I 17) reflection across x = 3 x y A B C 18) reflection ...

  17. Reflection in Geometry (examples, solutions, videos, worksheets, games

    Examples, solutions, videos, worksheets, stories, and songs to help Grade 7 students learn about reflection in geometry. In this lesson, we will learn about reflection. A reflection (or flip) is one kind of transformation. The reflection of a point is another point on the other side of a line of symmetry.

  18. Transformation Worksheets

    In these worksheets identify the image which best describes the transformation (translation, reflection or rotation) of the given figure. Ideal for grade 5 and grade 6 children. Download the set Write the Type of Transformation Each grid has the figure and the image obtained after transformation.

  19. Geometry Reflection Worksheet Teaching Resources

    Geometry Reflection across any line Worksheet Math Problems. by. Shining Stars Academy. $3.50. PDF. Geometry Reflection across any line Worksheet Math Problems: This product includes problems related to Geometry with the emphasis related to above. These Worksheets are made in 8.5" x 11" Standard Letter Size.

  20. Geometry Worksheets

    This Transformations Worksheet will produce problems for practicing reflections of objects. Triangles, 4-sided polygons and box shaped objects may be selected. This worksheet is a great resources for the 5th, 6th Grade, 7th Grade, and 8th Grade. All Transformations Worksheets

  21. PDF Infinite Geometry

    1) reflection across the y-axis T(-4, 0), S(-5, 5), R(-4, 5), Q(-1, 2) y x 2) reflection across the x-axis V(2, -1), W(3, 1), X(5, -3) y x Graph the image of the figure using the transformation given. Rewrite the transformation using reflection notation. 3) reflection across the x-axis y G H F x 4) reflection across the y-axis y

  22. Results for reflections geometry

    This elementary motion geometry workbook that includes Translations, Reflections and Rotations, / Flips, Turns, Slides, aligns exactly with the Newfoundland and Labrador Grade 5 Math curriculum, and covers other curriculums from across Canada, United States & more! This workbook is great for fourth grade, fifth grade and sixth grade students.

  23. Geometry Worksheets

    This page includes Geometry Worksheets on angles, coordinate geometry, triangles, quadrilaterals, transformations and three-dimensional geometry worksheets. Get out those rulers, protractors and compasses because we've got some great worksheets for geometry!